Atkin-Lehner |
2+ 7+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126896a |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-4551108578035712 = -1 · 211 · 75 · 112 · 1033 |
Discriminant |
Eigenvalues |
2+ -3 4 7+ 11- -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28277,-2680550] |
[a1,a2,a3,a4,a6] |
j |
1220938406456382/2222220985369 |
j-invariant |
L |
1.8240912907135 |
L(r)(E,1)/r! |
Ω |
0.22801181508058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63448d1 |
Quadratic twists by: -4 |